Question 1

Graph the equation. 2 y  2 = x  3

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Graph the equation. $y = \frac { 10 } { x ^ { 2 } }$

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Graph the equation. y = $-$ 3 x $-$ 2

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Identify the graph of the ellipse. 49 x  2 + 4 y  2 = 196

Accepted Answer

A)   
B)   
C)   
D)

Question 5

Graph the parabola. $y = ( x - 3 ) ^ { 2 } - 4$

Accepted Answer

A)   
B)   
C)

Question 6

Graph the equation. y = x 2 $-$ 2

Accepted Answer

A)   
B)   
C)   
D)

Question 7

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph.
-symmetry with respect to the origin

Accepted Answer

A)  $x ^ { 2 } - 3 x - y ^ { 2 } = 4$ 
B)  $y = x ^ { 4 } - x ^ { 2 } + 3$ 
C)  $y = 2 x$

Question 8

Graph the equation. $y = \frac { - 2 } { x ^ { 2 } + 2 }$

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Graph the hyperbola 16 x 2 $-$ 9 y 2 = 16.

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Graph the parabola. $y = - 5 x ^ { 2 }$

Accepted Answer

A)   
B)   
C)

Question 11

Identify the graph of the parabola. y = $-$ x 2 $-$ 4 x $-$ 3

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Graph the hyperbola $-$ 9 x 2 + 72 x + 4 y 2 $-$ 8 y $-$ 176 = 0.

Accepted Answer

A)   
B)   
C)   
D)

Question 13

For the point (-4, 5) determine the point that is symmetric with respect to y -axis. Enter your answer as an ordered pair in the form ( x , y ).

Accepted Answer

The answer of For the point (-4, 5) determine the...

Question 14

Find the center of each circle. Match each of the equations with coordinates ( x , y ) to obtain a true statement.
-$( - 9,8 )$

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } - 16 x - 20 y - 992 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } + 18 x - 16 y + 144 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } + 20 x + 16 y + 163 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } - 8 x + 6 y + 9 = 0$

Question 15

Graph the hyperbola $-$ 4 x 2 + y 2 = $-$ 4.

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Identify the graph of the ellipse. x  2 + 14 x + 9 y  2 + 36 y + 49 = 0

Accepted Answer

A)   
B)   
C)   
D)

Question 17

The general approach of changing $y = a x ^ { 2 } + b x + c$ to $y = a ( x - h ) ^ { 2 } + k$ is by completing the square.

Accepted Answer

A) True 
 B)False

Question 18

Graph the circle. $x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0$

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Identify the graph of the ellipse. x 2 + 2 x + 49 y 2 $-$ 80 = 0

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Match each equation with the other equation that has the same graph.
-$3 y ^ { 2 } + 2 x ^ { 2 } = 25$

Accepted Answer

A)  $3 x ^ { 2 } + 2 y ^ { 2 } = 25$ 
B)  $2 x ^ { 2 } + 3 y ^ { 2 } = 25$ 
C)  $x ^ { 2 } + y ^ { 2 } = 25$

Exam 12: Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Graph the equation. 2 y ² = x ³

Graph the equation. $y = \frac { 10 } { x ^ { 2 } }$

Graph the equation. y = $-$ 3 x $-$ 2

Identify the graph of the ellipse. 49 x ² + 4 y ² = 196

Graph the parabola. $y = ( x - 3 ) ^ { 2 } - 4$

Graph the equation. y = x 2 $-$ 2

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph. -symmetry with respect to the origin

Graph the equation. $y = \frac { - 2 } { x ^ { 2 } + 2 }$

Graph the hyperbola 16 x 2 $-$ 9 y 2 = 16.

Graph the parabola. $y = - 5 x ^ { 2 }$

Identify the graph of the parabola. y = $-$ x 2 $-$ 4 x $-$ 3

Graph the hyperbola $-$ 9 x 2 + 72 x + 4 y 2 $-$ 8 y $-$ 176 = 0.

For the point (-4, 5) determine the point that is symmetric with respect to y -axis. Enter your answer as an ordered pair in the form ( x , y ).

Find the center of each circle. Match each of the equations with coordinates ( x , y ) to obtain a true statement. - $( - 9,8 )$

Graph the hyperbola $-$ 4 x 2 + y 2 = $-$ 4.

Identify the graph of the ellipse. x ² + 14 x + 9 y ² + 36 y + 49 = 0

The general approach of changing $y = a x ^ { 2 } + b x + c$ to $y = a ( x - h ) ^ { 2 } + k$ is by completing the square.

Graph the circle. $x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0$

Identify the graph of the ellipse. x 2 + 2 x + 49 y 2 $-$ 80 = 0

Match each equation with the other equation that has the same graph. - $3 y ^ { 2 } + 2 x ^ { 2 } = 25$

Exam 12: Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Graph the equation. 2 y 2 = x 3

Graph the equation. y=10x2y = \frac { 10 } { x ^ { 2 } }y=x210​

Graph the equation. y = −-− 3 x −-− 2

Identify the graph of the ellipse. 49 x 2 + 4 y 2 = 196

Graph the parabola. y=(x−3) 2−4y = ( x - 3 ) ^ { 2 } - 4y=(x−3) 2−4

Graph the equation. y = x 2 −-− 2

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph. -symmetry with respect to the origin

Graph the equation. y=−2x2+2y = \frac { - 2 } { x ^ { 2 } + 2 }y=x2+2−2​

Graph the hyperbola 16 x 2 −-− 9 y 2 = 16.

Graph the parabola. y=−5x2y = - 5 x ^ { 2 }y=−5x2

Identify the graph of the parabola. y = −-− x 2 −-− 4 x −-− 3

Graph the hyperbola −-− 9 x 2 + 72 x + 4 y 2 −-− 8 y −-− 176 = 0.

For the point (-4, 5) determine the point that is symmetric with respect to y -axis. Enter your answer as an ordered pair in the form ( x , y ).

Find the center of each circle. Match each of the equations with coordinates ( x , y ) to obtain a true statement. - (−9,8) ( - 9,8 ) (−9,8)

Graph the hyperbola −-− 4 x 2 + y 2 = −-− 4.

Identify the graph of the ellipse. x 2 + 14 x + 9 y 2 + 36 y + 49 = 0

The general approach of changing y=ax2+bx+cy = a x ^ { 2 } + b x + cy=ax2+bx+c to y=a(x−h)2+ky = a ( x - h ) ^ { 2 } + ky=a(x−h)2+k is by completing the square.

Graph the circle. x2+y2−6x−6y−18=0x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0x2+y2−6x−6y−18=0

Identify the graph of the ellipse. x 2 + 2 x + 49 y 2 −-− 80 = 0

Match each equation with the other equation that has the same graph. - 3y2+2x2=253 y ^ { 2 } + 2 x ^ { 2 } = 253y2+2x2=25

Graph the equation. 2 y ² = x ³

Graph the equation. $y = \frac { 10 } { x ^ { 2 } }$

Graph the equation. y = $-$ 3 x $-$ 2

Identify the graph of the ellipse. 49 x ² + 4 y ² = 196

Graph the parabola. $y = ( x - 3 ) ^ { 2 } - 4$

Graph the equation. y = x 2 $-$ 2

Graph the equation. $y = \frac { - 2 } { x ^ { 2 } + 2 }$

Graph the hyperbola 16 x 2 $-$ 9 y 2 = 16.

Graph the parabola. $y = - 5 x ^ { 2 }$

Identify the graph of the parabola. y = $-$ x 2 $-$ 4 x $-$ 3

Graph the hyperbola $-$ 9 x 2 + 72 x + 4 y 2 $-$ 8 y $-$ 176 = 0.

Find the center of each circle. Match each of the equations with coordinates ( x , y ) to obtain a true statement. - $( - 9,8 )$

Graph the hyperbola $-$ 4 x 2 + y 2 = $-$ 4.

Identify the graph of the ellipse. x ² + 14 x + 9 y ² + 36 y + 49 = 0

The general approach of changing $y = a x ^ { 2 } + b x + c$ to $y = a ( x - h ) ^ { 2 } + k$ is by completing the square.

Graph the circle. $x ^ { 2 } + y ^ { 2 } - 6 x - 6 y - 18 = 0$

Identify the graph of the ellipse. x 2 + 2 x + 49 y 2 $-$ 80 = 0

Match each equation with the other equation that has the same graph. - $3 y ^ { 2 } + 2 x ^ { 2 } = 25$